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Finding the Fourth Proportional to 149,843.90, 206,591.64 and 106,872.38

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Solution

The fourth proportional to 149,843.90, 206,591.64 and 106,872.38 is: 147,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,843.90 : 206,591.64 = 106,872.38 : x
  2. Step 2: Convert to fraction form
    149,843.90/206,591.64 = 106,872.38/x
  3. Step 3: Cross multiply
    149,843.90x = 206,591.64 × 106,872.38
  4. Step 4: Simplify right side
    149,843.90x = 22,078,940,254.90
  5. Step 5: Solve for x
    x = 22,078,940,254.90/149,843.90
  6. Step 6: Final answer
    x = 147,346.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.